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Finding the Third Proportional to 1,154,769,123 and 1,668,442,324.50

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Solution

The third proportional to 1,154,769,123 and 1,668,442,324.50 is: 2,410,611,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,769,123 : 1,668,442,324.50 = 1,668,442,324.50 : x
  2. Step 2: Convert to fraction form
    1,154,769,123/1,668,442,324.50 = 1,668,442,324.50/x
  3. Step 3: Cross multiply
    1,154,769,123x = 1,668,442,324.50 × 1,668,442,324.50
  4. Step 4: Simplify right side
    1,154,769,123x = 2,783,699,790,182,963,200
  5. Step 5: Solve for x
    x = 2,783,699,790,182,963,200/1,154,769,123
  6. Step 6: Final answer
    x = 2,410,611,554.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.